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Finding the Fourth Proportional to 6,865.29, 9,474.03 and 3,881.16

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Solution

The fourth proportional to 6,865.29, 9,474.03 and 3,881.16 is: 5,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.29 : 9,474.03 = 3,881.16 : x
  2. Step 2: Convert to fraction form
    6,865.29/9,474.03 = 3,881.16/x
  3. Step 3: Cross multiply
    6,865.29x = 9,474.03 × 3,881.16
  4. Step 4: Simplify right side
    6,865.29x = 36,770,226.27
  5. Step 5: Solve for x
    x = 36,770,226.27/6,865.29
  6. Step 6: Final answer
    x = 5,355.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.